Activity 4.3.2.
Use the special points on the unit circle (see, for instance, the start of Section 2.3) to determine the exact values of each of the following numerical expressions. Do so without using a computational device.
(a)
\(\arccos(\frac{1}{2})\)
(b)
\(\arccos(\frac{\sqrt{2}}{2})\)
(c)
\(\arccos(\frac{\sqrt{3}}{2})\)
(d)
\(\arccos(-\frac{1}{2})\)
(e)
\(\arccos(-\frac{\sqrt{2}}{2})\)
(f)
\(\arccos(-\frac{\sqrt{3}}{2})\)
(g)
\(\arccos(-1)\)
(h)
\(\arccos(0)\)
(i)
\(\cos(\arccos(-\frac{1}{2}))\)
(j)
\(\arccos(\cos(\frac{7\pi}{6}))\)
